Question

Antonio uses a function to determine the height of a football from the time is kicked to the time it lands on the ground. Is the function linear or nonlinear? Use words, numbers, or models to justify your answer.

Answer 1

Non-linear

Explanation:

Here, we want to determine the function type that would model the height of a football from the time it was kicked to the time it lands on the ground

The way to go about this is to notice the kind of shape or trajectory the kicked football will take.

The shape it will take is non-linear. The shape it will take would be a parabolic curve. These parabolic curve models a quadratic equation and not a linear function. Hence we can conclude that based on the kind of path in which the ball traces, we can conclude that the function that results from its trajectory would not be a linear kind of equation or representation.